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Finding the Fourth Proportional to 223,174.26, 334,724.45 and 73,416.42

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Solution

The fourth proportional to 223,174.26, 334,724.45 and 73,416.42 is: 110,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,174.26 : 334,724.45 = 73,416.42 : x
  2. Step 2: Convert to fraction form
    223,174.26/334,724.45 = 73,416.42/x
  3. Step 3: Cross multiply
    223,174.26x = 334,724.45 × 73,416.42
  4. Step 4: Simplify right side
    223,174.26x = 24,574,270,438.39
  5. Step 5: Solve for x
    x = 24,574,270,438.39/223,174.26
  6. Step 6: Final answer
    x = 110,112.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.